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William Atkinson's

Art Of Logical Thinking

Book page numbers, along with the number to the left of the .htm extension match the page numbers of the original books to ensure easy use in citations for research papers and books


1 - Reasoning - 2 - Process of Reasoning - 3 - The Concept - 4 - The Use of Concepts - 5 - Concepts and Images - 6 - Terms - 7 - Meaning of Terms - 8 - Judgments - 9 - Propositions - 10 - Immediate Reasoning - 11 - Inductive Reasoning - 12 - Reasoning by Induction - 13 - Theory and Hypotheses - 14 - Making and Testing Hypotheses - 15 - Deductive Reasoning - 16 - The Syllogism - 17 - Varieties of Syllogisms - 18 - Reasoning by Analogy - 19 - Fallacies -


are numerous and varied. In the first place we may erect a hypothesis by the methods of what we have described as Perfect Induction, or Logical Induction. In this case we proceed by simple generalization or simple enumeration. The example of the freckled, red-haired children of Brown, mentioned in a previous chapter, explains this method. It requires the examination and knowledge of every object or fact of which the statement or hypothesis is made. Hamilton states that it is the only induction which is absolutely necessitated by the laws of thought. It does not extend further than the plane of experience. It is akin to mathematical reasoning.

Far more important is the process by which hypotheses are erected by means of inferences from Imperfect Induction, by which we reason from the known to the unknown, transcending experience, and making true inductive inferences from the axiom of Inductive Reasoning. This process involves the subject of Causes. Jevons says: " The cause of an event is that antecedent, or set of antecedents, from which the event always follows. People often make much difficulty about understanding

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